Mathematical Analysis of the Junction of Two Acoustic Open Waveguides

DOI10.1137/100811374zbMath1238.35015OpenAlexW1983987600MaRDI QIDQ3225259

Christophe Hazard, Benjamin Goursaud, Anne-Sophie Bonnet-Ben Dhia

Publication date: 16 March 2012

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f870c358bd8382a39fb874cd09be31a52cf28fab

zbMATH Keywords

Helmholtz equationgeneralized Fourier transformopen waveguidemodal radiation condition

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (7)

A Rellich type theorem for the Helmholtz equation in a conical domain ⋮ Spectra of open waveguides in periodic media ⋮ The halfspace matching method: a new method to solve scattering problems in infinite media ⋮ The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions ⋮ Mathematical Analysis of Wave Radiation by a Step-Like Surface ⋮ The Complex-Scaled Half-Space Matching Method ⋮ Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum

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